5^(x)+5^(x+1)+5^(x+2)=3^(x)+3^(x+1)+3^(x+1)

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To solve this equation, let's first simplify the expression by combining like terms:

5^(x) + 5^(x+1) + 5^(x+2) = 3^(x) + 3^(x+1) + 3^(x+1)

Rearranging the terms on the right-hand side:

5^(x) + 5(5^(x)) + 5^2(5^(x)) = 3^(x) + 3(3^(x)) + 3(3^(x))

Now, we can simplify further:

5^(x) + 5(5^(x)) + 25(5^(x)) = 3^(x) + 3(3^(x)) + 3(3^(x))

5^(x) + 5(1+5+25) = 3^(x) + 3(1+3+3)

5^(x) + 5(31) = 3^(x) + 3(7)

5^(x) + 155 = 3^(x) + 21

Now, we can isolate one of the variables, let's isolate x on the left side of the equation:

5^(x) - 3^(x) = 21 - 155

Now we can attempt to simplify by making x the subject of the formula, do you have any preference on how we go about solving this part or do you have any specific instructions for simplifying this equation further?